BPS States, Crystals, and Matrices
We review free fermion, melting crystal, and matrix model representations of wall-crossing phenomena on local, toric Calabi-Yau manifolds. We consider both unrefined and refined BPS counting of closed BPS states involving D2- and D0-branes bound to a D6-brane, as well as open BP...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/357016 |
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| _version_ | 1832566235799224320 |
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| author | Piotr Sułkowski |
| author_facet | Piotr Sułkowski |
| author_sort | Piotr Sułkowski |
| collection | DOAJ |
| description | We review free fermion, melting crystal, and matrix model representations of wall-crossing phenomena on local, toric Calabi-Yau manifolds. We consider
both unrefined and refined BPS counting of closed BPS states involving D2- and D0-branes bound to a D6-brane, as well as open BPS states involving open D2-branes ending on an additional
D4-brane. Appropriate limit of these constructions provides, among the others, matrix model representation of refined and unrefined topological string amplitudes. |
| format | Article |
| id | doaj-art-d7f4594344a14fedb1e0e0db02aa54ff |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-d7f4594344a14fedb1e0e0db02aa54ff2025-02-03T01:04:49ZengWileyAdvances in High Energy Physics1687-73571687-73652011-01-01201110.1155/2011/357016357016BPS States, Crystals, and MatricesPiotr Sułkowski0California Institute of Technology, Pasadena, CA 91125, USAWe review free fermion, melting crystal, and matrix model representations of wall-crossing phenomena on local, toric Calabi-Yau manifolds. We consider both unrefined and refined BPS counting of closed BPS states involving D2- and D0-branes bound to a D6-brane, as well as open BPS states involving open D2-branes ending on an additional D4-brane. Appropriate limit of these constructions provides, among the others, matrix model representation of refined and unrefined topological string amplitudes.http://dx.doi.org/10.1155/2011/357016 |
| spellingShingle | Piotr Sułkowski BPS States, Crystals, and Matrices Advances in High Energy Physics |
| title | BPS States, Crystals, and Matrices |
| title_full | BPS States, Crystals, and Matrices |
| title_fullStr | BPS States, Crystals, and Matrices |
| title_full_unstemmed | BPS States, Crystals, and Matrices |
| title_short | BPS States, Crystals, and Matrices |
| title_sort | bps states crystals and matrices |
| url | http://dx.doi.org/10.1155/2011/357016 |
| work_keys_str_mv | AT piotrsułkowski bpsstatescrystalsandmatrices |